Determination of second-order elliptic operators in two dimensions from partial Cauchy data

DOI10.1073/pnas.1011681107zbMath1256.35203arXiv0810.2286OpenAlexW1970976946WikidataQ33780858 ScholiaQ33780858MaRDI QIDQ4907453

Gunther Uhlmann, Masahiro Yamamoto, Oleg Yurievich Imanuvilov

Publication date: 2 February 2013

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2286

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15)

Related Items (11)

On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Inverse boundary problems for systems in two dimensions ⋮ An inverse problem for the magnetic Schrödinger operator on Riemannian manifolds from partial boundary data ⋮ Uniqueness for inverse boundary value problems by Dirichlet-to-Neumann map on subboundaries ⋮ Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements ⋮ Inverse problem for Schrödinger equations with Yang-Mills potentials in a slab ⋮ Inverse problem for the Riemannian wave equation with Dirichlet data and Neumann data on disjoint sets ⋮ Inverse problems: seeing the unseen ⋮ On reconstruction of Lamé coefficients from partial Cauchy data ⋮ 30 years of Calderón's problem ⋮ The Neumann-to-Dirichlet map in two dimensions

Cites Work

• Inverse problems for the Pauli Hamiltonian in two dimensions
• Global uniqueness for a two-dimensional inverse boundary value problem
• Calderón's inverse conductivity problem in the plane
• The Calderón problem with partial data in two dimensions
• An inverse boundary value problem for the schrödinger operator with vector potentials in two dimensions
• Anisotropic inverse problems in two dimensions
• Determination of Two Convection Coefficients from Dirichlet to Neumann Map in the Two-Dimensional Case
• Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane

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